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Simplifying 45 + -1(7x + -19) = 3(5x + -50) Reorder the terms: 45 + -1(-19 + 7x) = 3(5x + -50) 45 + (-19 * -1 + 7x * -1) = 3(5x + -50) 45 + (19 + -7x) = 3(5x + -50) Combine like terms: 45 + 19 = 64 64 + -7x = 3(5x + -50) Reorder the terms: 64 + -7x = 3(-50 + 5x) 64 + -7x = (-50 * 3 + 5x * 3) 64 + -7x = (-150 + 15x) Solving 64 + -7x = -150 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 64 + -7x + -15x = -150 + 15x + -15x Combine like terms: -7x + -15x = -22x 64 + -22x = -150 + 15x + -15x Combine like terms: 15x + -15x = 0 64 + -22x = -150 + 0 64 + -22x = -150 Add '-64' to each side of the equation. 64 + -64 + -22x = -150 + -64 Combine like terms: 64 + -64 = 0 0 + -22x = -150 + -64 -22x = -150 + -64 Combine like terms: -150 + -64 = -214 -22x = -214 Divide each side by '-22'. x = 9.727272727 Simplifying x = 9.727272727
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